Solution Found!
Pressure Scientist Robert Boyle examined the relationship
Chapter 9, Problem 34E(choose chapter or problem)
Problem 34E
Pressure Scientist Robert Boyle examined the relationship between the volume in which a gas is contained and the pressure in its container. He used a cylindrical container with a moveable top that could be raised or lowered to change the volume. He measured the Height in inches by counting equally spaced marks on the cylinder, and measured the Pressure in inches of mercury (as in a barometer). Some of his data are listed in the table. Create an appropriate model.
Height |
48 |
44 |
40 |
36 |
32 |
28 |
Pressure |
29.1 |
31.9 |
35.3 |
39.3 |
44.2 |
50.3 |
Height |
24 |
20 |
18 |
16 |
14 |
12 |
Pressure |
58.8 |
70.7 |
77.9 |
87.9 |
100.4 |
117.6 |
Questions & Answers
QUESTION:
Problem 34E
Pressure Scientist Robert Boyle examined the relationship between the volume in which a gas is contained and the pressure in its container. He used a cylindrical container with a moveable top that could be raised or lowered to change the volume. He measured the Height in inches by counting equally spaced marks on the cylinder, and measured the Pressure in inches of mercury (as in a barometer). Some of his data are listed in the table. Create an appropriate model.
Height |
48 |
44 |
40 |
36 |
32 |
28 |
Pressure |
29.1 |
31.9 |
35.3 |
39.3 |
44.2 |
50.3 |
Height |
24 |
20 |
18 |
16 |
14 |
12 |
Pressure |
58.8 |
70.7 |
77.9 |
87.9 |
100.4 |
117.6 |
ANSWER:
Step 1 of 3
The data for height and pressure is given in the question. We will plot the data to asses the fitness.
From the plot it is clear that we need to re-express the data to make it linear.